A gaze contingent display technique for providing a human viewer with an enhanced three-dimensional experience not requiring stereoscopic viewing aids. Methods are shown which allow users to view plenoptic still images or plenoptic videos incorporating gaze-contingent refocusing operations in order to enhance spatial perception. Methods are also shown which allow the use of embedded markers in a plenoptic video feed signifying a change of scene incorporating initial depth plane settings for each such scene. Methods are also introduced which allow a novel mode of transitioning between different depth planes wherein the user's experience is optimized in such a way that these transitions trick the human eye into perceiving enhanced depth. This disclosure also introduces a system of a display device which comprises gaze-contingent refocusing capability in such a way that depth perception by the user is significantly enhanced compared to prior art. This disclosure comprises a nontransitory computer-readable medium on which are stored program instructions that, when executed by a processor, cause the processor to perform operations relating to timing the duration the user's gaze is fixated on each of a plurality of depth planes and making a refocusing operation contingent of a number of parameters.